Yup, looks like an old Uniflite, all right!
I think you will find that if you remove the bottom paint, the finish will be maroon gel coat. Above that will be the "faded blue" boot stripe typical of the Uniflite brand. If it is original, it is not paint but gel coat. Compound it and put on a good coat of wax.
The boat was not designed as a displacement hull. If you note the spray rail on the quarter, it would typically be parallel to the water when the boat is in operation. However, it will run just fine at displacement speeds.
There is a Uniflite website you might want to check out.