Univegas are a funny brand. Univega was not a manufacturer, but rather a company that had spec-built bikes built for them. The model names changed every year! Many of the frames were sourced from Miyata, and the components used were similar, but not necessarilythe same as what was on the corresponding Miyata level bike. Thus they were sold at a cheaper price point. With the top-mounted shifters on your downtube, this dates your Uni to the early '80s. I have and '84 Univega Viva Sport that also has those shifters. What derailleurs does yours have? Hubs? Rims? Your serial number will help nail down the year of manufacture.
What is wrong with the rear wheel? If it is simply out of true, that can be fixed easily. They look to be presta-valved wheels as well, so this puts this bike in a better category - NOT a department/discount store cheapie by any means. More like a lower-to low-mid bike-shop bike in the '80s.
My Uni was in better condition in that it had new tires/tubes and a new freewheel on it. I bought that one for $140. I'm going through it anyway to make sure the bearings are properly lubed, etc. because I want to be certain things have been maintained properly. I'll also be tweaking the 'fit' by adjusting the seat, bars, etc. to match my own preferences...
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'75 Fuji S-10S bought new, 52k+ miles and still going!
'84 Univega Gran Tourismo
'84 Univega Viva Sport
'86 Miyata 710
'90 Schwinn Woodlands
Unknown brand MTB of questionable lineage aka 'Mutt Trail Bike'
Plus or minus a few others from time-to-time