You should have never got that model ... when one breaks, the others are affected .. ok, enough said ..
for the VHS function, does it have a "Tracking" knob? old VCR players have this "Tracking" knob that adjusts the player head so it stabilizes the picture.
you don't have a "tracking" knob? you have another problem. I had a technician who taught me a different way of cleaning video heads. these so-called video head cleaners are only for 3 or 5 cleanings and after that, whatever dirt was gathered, remains in the cleaner's "tape" and you're just rubbing this dirt over and over again when you use it, especially use it repeatedly.
another way of cleaning? unfortunately you can't access the head by hand since it "buried" way deep inside the tv/vcr/dvd thing of yours.
Now, If you can reach it with (say with a stick) from the front opening slot, there may be a chance for you to clean the head.
ok .. here's what you can do .. with a skewer or barbeque stick, wrap a cotton around it and then wrap a lens cleaner over the cotton. do not use directly the cotton as it is loose fiber and could be left at the vcr head and cause more motion problems.
again, cotton covered with lens cleaner (lens cleaners are plain soft paper, non-fibrous) and make sure you secure it tight on the skewer (whatever you're using), drop some acetone (yes, the nail polish remover) on it and then reach into the vcr part and aim for the head. try to spin the head with your "cleaner" and clean the whole thing. Its very tedious and tiring but unless you can open the thing up and access the vcr head, this is your best bet.
hope this helps you out.