Joker,
To be sure part-all of problem is the outside of the block wall, if you like, you can do a water test with a hose. Run the hose near full blast aimed at wall, a few inches away from wall. Don`t let water wet/soak anything above ground.
Much more often than not, the problem/crack is on outside of wall but there are times when part-all of water that eventually comes in onto floor along cold joint, is entering Through Above ground openings..mortar joints,basement windows etc etc.
Anyway, when running the hose, allow it to run up to about 45 minutes or until you begin to see/get water in. IF you do then proceed w/waterproofing that area. IF you don`t get water in then the problem(s) will either be above ground opening(s) or, a blockage under the floor that can often be freed by snaking storm trap. A sump(s)...not an inside drain tile or baseboard system, will most likely be needed if no storm trap/no access under floor.
aquaseal i/we/many of us up here do not/have not used.so, if there is anything on the outside of the wall, which i doubt but never know for sure, you may need to take it off, check with aquaseal on that.
using a small backhoe is your call

there are times when using equipment near a basement wall can crack a wall, the weight causes an underground surcharge pressure which is transmitted to wall. read all of this but check "Careful on the Construction Site"..last para..
http://www.bobvila.com/HowTo_Library/Why_Foundations_Fa...oundation-A2095.html just be certain where any-all underground and overhead lines are/exist
if there is drain tile which there should be,never know-didn`t build em lol, IF they are broke,brittle etc then yes, you should replace and rig-pvc should be fine. Its much better than plastic perforated tile. But if ya have clay tile and they are in good shape then, if it were me, i`d leave em in.
Peastone/gravel/sand apply the LEAST amount of lateral pressure! Check that Bob Vila article, first few paragraphs and read 6th para here
http://www.yodergroup.com/concrete.asp If there is a crack it`ll almost always be at-near the corners, sometimes it`ll be only 1 corner and others it`ll be both corners. Sometimes there can be a cracked-footing and no, the peastone will not cause a problem. Lets put it this way, it Never has in 28 years for us, just use hydraulic cement in `n over it and apply tar,asphalt or whatever your using. The peastone won`t allow water to sit up against the wall like it does when there is soil/clay against a wall, know what i mean?
Pool, yeah, lol, always be careful when Anything is near where yer digging.No, i wouldn`t put anything into the blocks but you can if ya like
No again on the foamboard, not us anyway but you could if ya like.
