Your wheel (rim) could be damaged so you should have a tire shop take a look at it. You can probably get a tire for like $30+, and maybe $10-$15 to balance it. Try a used tire cause most tire places would suggest changing tires in pairs.
There are currently a number of HDHomeRun models on the market: a single-tuner ATSC/clear QAM model, a dual-tuner ATSC/clear QAM model, a dual-tuner commercial (TECH) ATSC/clear QAM model, a dual-tuner DVB-T/unencrypted DVB-C model, and a three tuner CableCard/clear QAM model.
Some violins only have fine tuners on the E string, whereas others have fine tuners on all 4 strings. If you buy a violin with only one fine tuner, you do have the option of getting the other three fine tuners installed into the tailpiece by a luthier. As their name suggests, the fine tuners are used for tuning the string if the string is off-pitch by a small interval of no more than half a tone or so.