@Kyle Goodman I'm sorry to hear about your mother's passing.
As for the mobile home, it all just depends on the neighborhood. The lot rent of $700 is quite high, at least for my area. I'm sure this is normal for others. What area is it in? And what year is the home?
As was previously suggested, definitely look around and ask the park manager or others and see what previous homes sold for and try to figure out their condition at the time of sale.
For my area I don't usually update counter tops but flooring and paint are obvious quick fixes. I think everything else makes sense, depending on if you can recoup your investment in the sale price. Very rarely do people have $6,000+ cash laying around to buy something so if you sold it on contract you'd open up yourself to a lot more potential buyers. I realize that opens up another level of complexity so I'd just look at your situation and go from there.
Usually as long as the floors and roof are good and the rest of the house is in decent, clean, livable shape, you won't have too much problem selling it. Just depends on how much you want to put in, in hopes that you'll get more back out. I like to pay it safe in the beginning to allow me to learn and then increase from there.