I feel like these dreams're connected. In the first you dump the gun but not the body. Did the body go in the lake too? Mebbe you're trying to kill an aspect of yourself?
The second dream was an interesting follow up to the first, this time trying to convince others of your ownership rather than covering something up. Both dreams had large objects, so size is important maybe?
Other people's perceptions are something you're working with in both dreams, tho you actively avoid discovery in one and fight for validation in the other
Perhaps there a problem or project you feel is too big for you to handle? Or maybe you don't feel yer getting enough credit from people for the hard work youre doing?
Do you have any pictures of this cat laying with the birds? For science?