Hello and welcome.
Yes, the vehicle is safe to drive. The warning lights are all related to each other and have to do with the traction control light. Still safe to drive.
I would for sure take back to dealer. They may have damaged a wire during the battery replacement, or a fuse blew if you tried to jump start before getting it replaced, or a fuse even could have blown during the battery replacement.
Since these problems all started right after the work was done, they should look at it for free for you.