I think the whole "recycling" craze has gone way overboard. I do recycle those items that make sense to recycle. I rinse all of my plastic food bins such as cottage cheese cartons and toss them in the recycle bin. I toss every scrap of paper that doesn't have my name or some account number in the recycle bin. On the rare occasion that I have a glass jar I rinse it out and it goes in the recycle bin.
I do not remove paper labels that are securely glued to containers but I will remove labels that have only a small glue strip. I do this on both glass and plastic. The plastic labels go in the garbage for the landfill and the paper labels go in the recycle.
In case you haven't guessed, where I live all recyclable items go into a single bin.
What I don't do is put food scraps and pizza boxes im the yard waste bin, these go in the garbage. I do put my shredded paper in the yard waste.
At least I don't live in Seattle (left more than thirty years ago) where they have garbage police that will take any recyclable material of any kind out of your garbage and then fine you. That's going WAAAAY overboard in my opinion.
I usually use a reusable bag when I go grocery shopping. If I only buy one or two items I refuse any bag offered.
"They" won't admit it but aluminum foil is not recyclable, not at all because it simply burns up to slag when they try to remelt it. "They" will tell you that no foodstuff or anything contaminated by food (like your foil) can be placed in the recycle stream except for "clean" food scraps and items like paper towels, paper napkins and pizza boxes which can only be placed in with yard waste.
"They" don't want any jar lids because the rubber or plastic seal will contaminate the recycling process. This includes any and all bottle caps.
Yes, you can recycle recycled paper products. Paper is wonderful because it can be recycled indefinitely. It may not be cost effective but at least it isn't blowing around in the wind. Truth is, most recycling is not cost effective, aluminum cans and glass jars being a notable exception.
I strongly suspect that a pretty high percentage of what Americans "think" they recycle is really sent overseas with only minimal stateside processing and once overseas it is either used as landfill or burnt in incinerators having few, if any, pollution controls.
Just my opinion.