Sherwin, it's a little hard to follow the #s here. I guess if it were me, I'd try to understand a few scenarios.
What would the house be worth if you put it on the market today, how much would you (or your dad) have to invest to acquire it, and if you had to sell it on day 1 as-is, doing no work, what would you get back (if anything), or would you lose money. This is the baseline scenario.
Second scenario would be, what would you have to put in not only to acquire it, but also to at least stabilize the property and make it a bare minimum acceptable quality - for example, fix the pest issues as best as possible, fix the electrical issues, etc. This doesn't mean "making it a great property" this means "making it acceptable so that there are no glaring risks or big problems that would stick out to a potential buyer". Again, you'd want to look into how much to acquire, how much to bring it up to that level, and then what you could get for it if you put it on the market at that point (which would involve paying off any mortgage of course - what you'd get "at the end of the day").
The final scenario, one you probably don't want to get into but is worth thinking about, is what would you have to put into the property to acquire and bring it up to a reasonable quality level, to actually make it a "good property". Obviously that's the biggest investment scenario, and you'd want to similarly understand what you'd be able to get for all your hard work.
Chances are this last one isn't the maximum profit scenario (if any scenario has a profit), only because I find doing things "right" is rarely paid back fully to an appreciative buyer - the main benefit from doing things right is if you keep a property long enough to benefit from those decisions.
There's also the scenario of holding onto it, but it doesn't sound like that's really what you'd be wanting to do for geographical and other situational reasons here.
My basic thought is, if you don't see a way to make at least $10,000 in the first scenario (acquire and sell as-is), strongly consider just passing. But if you are up for a bit of a project then maybe the second scenario (fix the glaring issues and put it on the market) is more appealing, in which case I'd say if you could make $20,000 then maybe it's worth it - only you can decide the "minimum profit for the required aggravation" level for yourself of course.
There are probably other, more creative ways to look at this. For example if you think there's a little money being left on the table but not enough for you to do a project with the property long-distance, with everything else you have going on, you could wholesale it to someone more local (in RI or Providence), walk away with a little $ and let someone else deal with the aggravation.
I still don't have a sense of what the house would be worth, the top line number, so this is all just theoretical, but hopefully some of those ideas will help you and your dad think about it. Good luck and let us know how it works out of course!