Hi, halfbaked05, welcome to the forum.
Firstly, a decompression bomb is simply a file with an unusually high compression. The technique used to be used a long time ago to swamp a computer, if the payload was viral. That's quite a big "if". Chances are it is not harmful, but the name suggests otherwise for the un-knowing.
File is password protected results are usually files created by another security program Avast has no way of knowing the password, and no way of accessing the file if it did know the password. Spybot springs to mind, because items in Spybots quarantine often return this type of scan result.
Following a scan, when the report is displayed, moving the column headers in the report window can allow the user to read the original file location or name, which can usually put any concerns to rest.
The Win32 detections are worth further investigation.
There is no need to delete them from the chest; they aren't going to escape. If you could please post the full file names and original locations, that may be revealing.
Your question about deleting from the chest (which isn't a dumb question) is correct. Delete from chest will remove them from your computer, but as I said, don't be in a hurry to do this. The file/s may be harmful; they may be false positives; there is also a chance your computer may need further cleaning.