2. Agree. Renting in another state is a headache and unless it pays well, its a waste.
3/4 Agent next door. No, unless you really trust them to do a good job. They will be selling to their future neighbors, so there is a conflict of interest. You could ask them if they have any clients that are looking to buy. Then they can represent the buyer and you represent yourself so you save on the fee.
5. Paint -> yes, but basic if you can do it yourself.
Landscaping -> yes, simple and try to do it yourself.
Carpet -> no, just make it look clean. It is a taste thing so buyers won't value it much.
The point is that the house should look clean and maintained. No need to look fancy.