1 - If you leave with any bank debts/credit card debts/bad checks, this will create a problem for your sponsor. In that case the sponsor might blacklist you from getting a work visa in Qatar or anywhere else in the GCC. Additionally if there are issues with the bank, they may send a collection agency after you even in your home country to recover any money that you owe.
2 - There could be problems, it depends on point 1.
3 - The bank account will technically remain active. It doesn't close down at the expiration of your RP, otherwise all Qatar residents would need to go to the bank every time they renew their RP. If you have a monthly account fee over time this will bring the account into negative balance, creating a potential problem for you and your sponsor.

Leave peacefully and do the right thing by your sponsor. If you leave by going on holiday and not coming back you are only going to make a problem for yourself later.