I de-badged my Impreza which had a load of badges including individual letters for the word Subaru. As above heat up the badge, I did mine in 60 second blasts as you do not want to damage anything. And then good old dental floss to saw behind the badge moving it slowly across until it pops off.
I tried the tar/bug remover from turtlewax and left it on for a good 5 minutes on the left over glue and then gently with a credit card (old one you will destory it) got some of it off. But I also found that warming up the glue with the hairdryer again and nothing else was a good way to shift it as it tended to peel right off.
As for your boot badge it seems you have buy a complete unit which seems to be about £80. There are a couple of posts about it, I was searching myself for that eariler in the week as mine has got small bits of whiteworm in mine. I will see if I can find the post again.