as already mentioned vibrations around 50-60mh are generally caused by wheels out of balance, mainly on the front wheels as this inbalance will be felt through the steering wheel, but the rear wheels should also be balanced to prevent uneven wear on the tyre/suspension etc.
Maake sure this is done properly, i know lots of tyre fitters who just dont know how to balance wheels correctly,
you could also jack up each corner and rotate the wheels to check the tyres for trueness, look for uneven tyre wear, and high/low spots on the tyre.
As far as cuts in the tyres are concerned, if in doubt have them checked by someone who knows what to look for, they might not be leaking now, but that doesn't mean they couldn't suddenly split, and i dont need to tell you the consequences of that happening on the motorway/freeway.
Maake sure this is done properly, i know lots of tyre fitters who just dont know how to balance wheels correctly,
you could also jack up each corner and rotate the wheels to check the tyres for trueness, look for uneven tyre wear, and high/low spots on the tyre.
As far as cuts in the tyres are concerned, if in doubt have them checked by someone who knows what to look for, they might not be leaking now, but that doesn't mean they couldn't suddenly split, and i dont need to tell you the consequences of that happening on the motorway/freeway.