Going through your list:
- Regards
This is quite formal and distant. You'd use it for someone you don't know well or for a business-style email
- Best regards
This is 'warmer', but still quite formal.
- Hugs;
'Hugs' - (or hugs and kisses) is affectionate, but it's something that girls tend to write. To me it seems strange for a boy or man to write this.
- Greeting
This does not exist. We never use this at the end of a message.
- Respects;
This doesn't exist either.
- or just my name;
This is possible but seems a bit abrupt/unfriendly.
The endings which I use most are:
Best wishes = a useful neutral and semi-formal ending
Love = for friends and family
Men and boys tend to use 'love' only for family members. If you're writing to a friend, I think the best way to end your message is:
All the best = friendly and informal, but not too affectionate (or 'girly').
If I'm hesitating between 'Best wishes' and 'love' (say, if one seems too distant and the other too affectionate) I might also write 'All the best'
I hope that helps.