Shemitah

Is it permissible to burn chametz that contains shemitah produce, such as banana bread?

Before Shabbat I saw I was short on carrots, so I borrowed a few from my next-door neighbor. I just restocked with otzar beit din carrots. Can I "repay" my neighbor with these carrots that have kedushat shevi'it, or is it like repaying a debt with kedushat shevi'it produce?

Do I need to uproot Kila'im in my garden during the shemitah year?

 I have a tree in my yard that just entered its fourth year on 15 Shevat. I know that if we have a tree with orlah fruit hanging on it, we should remove the fruit so that (1) it doesn't get mixed up with neta revay fruit that will develop later on and (2) anyone who comes into the yard to take shemitah fruits doesn't inadvertently take prohibited orlah fruit.

Does this fruit have kedushat shevi'it, meaning does it have to be double-bagged or just thrown away regularly?

Can I take Kedushah produce with me on the plane?

At this time of year, chickweed and milk thistle generally sprout, and I usually feed them to my chickens. Am I allowed to do that this year? If so, in what way?

My neighbor has edible weeds that sprout around now in her garden, namely wood sorrel (חמציץ, Jerusalemites often call them חמצוץ). Can I eat them during shemitah or are they considered sefichin?

We went on a trip to Kadesh Barnea (in the Aravah, near the Egyptian border) and bought cherry tomatoes. I know the area is considered olei Mitzrayim. The tomatoes were certified by the rabbinate and heter mechirah was performed. The tour guide said that terumot and ma'aserot were taken from the produce. Is it necessary to separate terumot and ma'aserot from produce that grew during the shemitah year under heter mechirah?

Can I grow sprouts during Shemithah?

It's olive harvest time (Cheshvan 5782), and I generally harvest them. I pickle some and press some for oil. Do I have to do something different this year? Will the olives have kedushat shevi'it?