First, you can never really trust the numbers they give you. They are just a quick screen you can use to see if you want to look closer. If you are interested then you need to do all your own due diligence and verify anything the seller is telling you with receipts, bank records, leases, rent rolls, etc.. Appreciation depends more on the area than the individual property, so I would do market research to look at things like population growth, income growth, new jobs coming to the area, big plants closing and people losing jobs, new construction planned, etc. If the properties are in good shape, they will still appreciate. GET and inspection and make sure you look at the foundation, the electric, the plumbing, roof, ac, water heater etc. Look for any deferred maintenance or big ticket items that are coming due soon. Also, a general rule of thumb that will help you stay out of trouble is that your vacancy, capex, and repairs should equal about 30%. So these numbers aren't too bad for these properties, but I'd raise them a little, ESPECIALLY for old buildings. You can talk with local property management companies to see what actual vacancy rates and expense ratios are. You must verify, verify, verify. Look at what they are ACTUALLY renting for, not "COULD raise rents $150/mo".
For me, I am instantly suspicious because they are both offering over a 15cap. Unless they are in a war zone, that seems VERY high for me. Just from a quick Google search I can see that the population dropped 18% and the population is tiny. I'm guessing your vacancy rates are going to be much higher and unless you are banking on something big happening in that area sometime in the future, the appreciation isn't going to be stellar. So, yes, the cap rates should be higher because the risk is going to be higher, but I'm not sure a 15 cap is extremely realistic, but get your numbers airtight and find out for yourself. Generally speaking, in a c-class neighborhood, you would expect to see cap rates at 8-10. If it really is a war zone (D+ class or below), then yeah, you can get a 15 cap, but I wouldn't do it.
Hope that was helpful, let me know if you have any other questions!!