Can I remove my SD card without deleting my apps?

Of course they will be there. They will disappear from the phone's home screen when you remove the card, but as soon as you put it back in, the apps should reappear.

It all depends on where your app's storage was; if it was on SD card, then they are all safe unless the SD is corrupt but if not then those apps are on your internal memory card which is also safe. So in conclusion, your apps cannot be deleted after removing the SD card. Hope I help, but you can always check the below blog for tips. Cheers!

Yes

Yes, they should still be there. Just remember to unmount the sd card first in settings.
EDIT: I don't think this works if you are trying to transfer the apps to another phone

Yes they will be there yet

They should be when you put the card back in.

No