Obviously, you should have less fullness in the jowl area after surgery, not more. It is concerning me that you have fullness in the jowls, a lump in your cheek, a string-like feeling inside your mouth, and on top of that, your eyelids are pulling down more. Since your concern is mainly the jowl, there are several ways to correct that depending on what the cause it. It could be an accumulation of fat which would be liposuctioned or perhaps the whole flap needs to be pulled and re-draped. This would require another facelift.
The string feeling may be from a thrombosed vein - a vein that has a blood clot in it.
If the canthopexy didn't help (assuming it was done properly), you may need lower eyelid reconstruction with a hard palate graft to get your lower lids back into better position. Unfortunately, the lower eyelids will only get worse over time if they are not corrected and can cause problems with dry eyes, scratching of the cornea, and possibly eye infection since the eyeball is over-exposed.
My suggestion is to find a very experienced and qualified doctor who can address each of your issues. With each surgery, your correction may get more and more complicated. Unfortunately, about 1/2 of my practice now involves corrections and repairs of previous cosmetic surgeries done elsewhere.