Photo is needed here.
Sounds like the block might be cracked in which case the engine is a write off.
Some times you can get away with some JB weld or Devcon on an engine crack & some times you don't.
You test the solenoid by energising the trigger .
If there is 1 small terminal then run a jump from the battery - to the body of the solenoid ( a metal bit ) and then a jumper from the + to the small terminal .
If there are 2 small wires, they can be connected to the battery either way they are not polarity sensative but remove the wires first as one might be earthed through the loom.