The latest is that my problem is now occurrring after EACH print.
Could the sensor be involved in some way--can it be cleaned?
Your problem sounds a little different than what I have experienced. The problem I usually have is that the paper won't feed at all, but sometimes it sends a sheet through as you have described. Do you experience the problem with Epson paper? If not, it seems reasonable that there is something about the third party paper that is making it difficult for the printer to get a proper grip on it and feed it. I don't know what kind of sensor the printer uses to detect when paper is properly in place during the feed process. You might try blowing a little compressed air to see if there is some dust, etc. that is affecting things.
Could you explaing how to clean the rollers a little more> When i look into the fedder i do not see rolers and can't tell what needs to be cleaned
Use a flashlight if the light is poor. Look into the automatic paper feed slot (without any paper in place) and press the paper feed button. At either side you will see white plastic rollers turning on a shaft. There are small plastic slides that cover the rollers to guide the paper but the rollers can easily be seen when you look at a slight angle.
I use a pair of vise grip pliers to hold onto the cotton swab when I clean the rollers. This makes it easy to reach far down into the slot and I know I won't accidentally drop the swab while I'm cleaning. I just hold the alcohol saturated swab against the surface of the roller that would contact the paper while it is turning. After a few turns you will see that the swab has collected some dust and dirt.
DISCLAIMER--I am not a professional technician and I don't claim any special knowledge of what is the proper maintenance for the printer. This has worked for me but try it at your own risk.