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So, I've been having a lot of fun with my kineticist in PFS lately, but I've found that basic geokinesis has been causing some hiccups. So I'll just list specific questions below.
1: How fast/hard to I move rocks/dirt? (some rough and math shows that at lvl 4 the rocks would have anywhere from 3-13 lbf behind them, if that adds any perspective)
a) I tried using this to dig through rubble (as it was loose rocks and dirt) but the GM didn't allow it because he has no idea how long it would take to excavate a collapsed temple wall. Also said digging rules assume a shovel but I would think a geokineticist would surpass a shovel (sooner or later). How should speed compare to a shovel?
b)If I get tools made of stone, can I manipulate them with my geokinesis? It's a rock so I would think so. Relating to how hard these things move, if I stuck a rock piton into something with my geokinesis does it still take a minute to stick in?
2: Earth Climb: I understand the mechanics of climb checks, but a couple things stick out for me
a)What method of climbing goes with a climb speed? Am I assumed to use all my limbs or can I run up a wall/ceiling provided I make the check?
b)Is there some method of securing myself to a wall/ceiling qickly so my hands are free (if I do need to use them to climb) and I don't want to have to worry about falling? (like geokinesis on pitons or something similar but faster)
1: How fast/hard to I move rocks/dirt? (some rough and math shows that at lvl 4 the rocks would have anywhere from 3-13 lbf behind them, if that adds any perspective)
It can move 15 feet in 6 seconds.
a)What method of climbing goes with a climb speed? Am I assumed to use all my limbs or can I run up a wall/ceiling provided I make the check?
You need to climb with your arms like normal, it just makes it faster and easier to climb (climb speed rules are rather stupid).
A round is 6 seconds, but they are not subdivided by your actions in the round. Anything you do happens all within that 6 seconds and the game doesn't reduce the time by any more than that, AFAIK.
I think you and your GM are overthinking the moving of rocks.
Every move action you move 5lbs per level of rocks 15'.
You have two move actions per round so you can move 5lbs per level of rocks 30' or two groups of 5lbs per level of rocks 15'.
The questions for your situation are:
1) What is the individual weight of any rock?
If that rock weighs more than your your limit you cannot move it.
If this is a pile of rubble and not boulders then the answer is probably not relevant since most construction is made up of relatively small stones.
2) How many pounds of rock are in the way and need to be moved?
This is probably a GM judgement call unless the scenario rules call it out.
However, from Ultimate Equipment we know a shovel can move 2 cubic feet per minute (assume that is 20 move actions).
We also know that 2 cubic feet of common fire clay bricks weigh 300lbs.
So, assuming you are level 4 you can move 20lbs per move action which allows you to clear 2 cubic feet of fire clay bricks in 15 move actions (7.5 rounds).
Of course, the material could be denser (such as marble) which would take you a bit longer (17 move actions @level 4) but would still be faster than the shovel.
Regarding climbing:
You need both hands free to climb, but you may cling to a wall with one hand while you cast a spell or take some other action that requires only one hand.
So you need both hands but can go to 1 hand while clinging to the wall.
You do not need tools to climb. With a climb speed you can climb any surface provided you can beat the climb DC.
Regarding making the check:
Make sure you train your climb skill. Because you have a climb speed you can take 10 in all climbing situations AND you have a +8 bonus to your climb skill due to having a climb speed. This means that you can automatically beat any DC that is 22 or lower with just 1 skill point put into climb (assuming no penalties).
take 10 +1skill point + 3(class skill) +8(climb speed bonus) = 22
Note: the DCs can exceed 30 so put more points in if you can.
You can take double moves (-5 climb check penalty) but you cannot run while climbing.
Unlike people without a climb speed you keep your dexterity bonus to AC.
A creature with a climb speed has a +8 racial bonus on all Climb checks. The creature must make a Climb check to climb any wall or slope with a DC higher than 0, but it can always choose to take 10, even if rushed or threatened while climbing. If a creature with a climb speed chooses an accelerated climb (see above), it moves at double its climb speed (or at its land speed, whichever is slower) and makes a single Climb check at a –5 penalty. Such a creature retains its Dexterity bonus to Armor Class (if any) while climbing and opponents get no special bonus to their attacks against it. It cannot, however, use the run action while climbing.
Angel Hunter D, the need for handholds applies specifically to ceilings.
Without handholds you cannot climb a ceiling unless you can climb smooth surfaces (such as with Spider Climb).
For other surfaces handholds equate to a lower DC, they do not make the surface possible.
Example:
A rock wall with handholds has a DC of 15.
A rough rock wall (without handholds) has a DC of 25.
(This is as per the examples in the Climb skill.)
I would argue that being able to meld into the surface means you have a hand hold on any earthen, rock, or any other earth like surface.