You can't get a visa and work permit for part time. You can pick up part time work but no visa so you would be illegally working. A DTV visa would be best for your online work.
Make sure you have the designated cash in your wallet, a hotel booking, flight or transport outward ticket also. If they suspect anything illegal they can reject you on not having those in order.
It's not a re entry visa, it's a non visa entry stamp.. you start a new one. It's 60 days but if you cross overland and it's your second one in a calendar year you can only extend it for seven days. Thirty days if you fly in.