BB comes on by itself while in stand-by

Not for a message or call or anything.

It's in stand-by, then the screen just lights up and it sits there. Does the same when it's in lock mode.

Anyone experience this?

Its probably an app that's running in the background. I have "leave it on" on my phone and sometimes I forget to turn it off before entering standby and the same thing happens.
Hold down the ALT key and press the escape key to pull up app switcher and see if something other than the 5 normal BB apps is running.

I did that and I had a lot of apps still open. lol.

What are the 5 apps that are usually running in the background?

Also, I can't seem to get BBweather to close.

The 5 apps that will always be listed in app switcher are: messages, home screen, browser, BB messenger and phone. To close any other apps open them and click the menu button and select close or exit.

Thanks for the help zwood.

And while I have you here...

is there any way to multi-delete text messages?

Your welcome!
Yes you can delete multiple messages, there are two options:
1- click the shift key and roll the track ball over the messages to select them and click the delete key.
2- high light the date header above the messages you want to delete and click the menu button and select delete prier. This will delete all messages prier to the date you selected.