Yes you do.
Noooo do not move it on its back!! I repeat DO NOT! You will severely damage the cooler lines on the back and it won't work again...and those cooler lines are almost impossible to replace you would need to buy an entire new fridge.
Yes
You need to go to auto parts store and tell them that you need both oil cooler lines for your make and model, they will sell you the whole line. Rubber and all, compleate.
There is not a drain plug. You can try loosening one of the cooler lines, then start the engine until you have removed the proper amount. MGLI have used a little hand-crank fluid pump to get trans fluid out. Worked out very well - clean and controllable to the amount I wanted.
Drain rad; (I just disconnect lower hose); remove fan assembly;disconnect top and bottom hoses;remove shroud if equipped; disconnect trans cooler lines(here you need a flare nut wrench) remove clips or fasteners that hold rad in place. Not hard, you can do it; the hardest part is the automatic trans cooler lines if you have an automatic. Replace in reverse ;fill with coolant; leave the rad cap off for 20 minutes while engine is running to bleed all air out of sytem and refill to top. Good luck.
It will get hydrolocked and that can cause damage all the way up to the engine if attempt to start. Need to ether drain lines or replace.
The petrol engine will just not run. No damage will be done. You will need to drain the tank, flush the fuel lines, and replace the fuel filter.
You need to replace the quick disconnect. Special tools are required to separate the joint without doing damage. Those lines are transmission cooling lines that bring the ATF to and from the cooler.
" fix" is too general. We need an idea of what the problem is.
It won't mess it up really, but it won't run that's for sure. At the most you'll need to drain the fuel tank and lines, and replace the filter.
Sounds like you need to replace the oil pan to fix the situation.
This is best done with an automotive lift. If your version is 4wd you will need supports to lower the front differential. Remove the fan shroud, then the quick connect fittings rime the radiator. There is a 13mm bolt holding the lines to the engine block that must be removed. The cooler is held to the engine by two 10mm bolts above the oil filter. Replace the gasket on this part. You'll need to loosen all parts first before removal is attempted. If you have a 4wd model, you'll need to lower the front differential about 6 inches to allow the lines to clear. pull the lines forward and out.