Hi, I don't think there's anything wrong with watching a BE for 15mins a day - my dd does too. However, just be aware that there are studies out there that discourage any TV for under 2yr olds - it's not because of the scary images etc, but more the fast paced, jerky, screen changes that could be attributed with the way the brain connects and the ability to concentrate and focus on what's going on. The American Academy of Paediatrics also have this warning. I'm not posting this to cause a debate (we've been there done that in the past :wink: ) - and there will always be studies going either direction - just saying that there is some information why it may not be a good idea and for you to make up your own mind for your child.
As far as what you can do, at his age he's bordering on some big developmental leaps with learning to roll, gearing up for crawling, being more aware of his world etc - so it can be frustrating and tiring learning all those skills. I don't believe you need to sit down and play with him all day to entertain him, but definitely change his environment and toys. Just lying in the same room where you're doing chores and him watching you may be entertaining enough, talking to him about what you're doing etc. They like different textures, so if you have a variety of ribbons, fluffy things, etc you can run them over his face, let him play with them. I used to do action songs with my kids like wheels on the bus and move their arms.
HTH