I would appreciate advice on keeping rust off a razor. I have been using a half hollow razor and I usually rinse the blade under water when shaving. When done I rinse it under hot water and dry with a tissue, strop a few times, and leave the blade open laying on the side.

I started using a full hollow and I noticed today it had some small marks that look like rust, some on the bevel, but not right up to the tip. I honed it on the Norton 4 and 8K, but didn't remove it.

I would appreciate advice on what to do about this. Can I use it as is or will it get worse, or do I need to hone it more?
How to prevent this? Maybe I didn't wipe the blade close enough to the edge. I wasn't sure if I should wipe the blade close to the edge when drying, or if that would dull it. Also if I need to wipe the blade during shaving.

Thanks