How do you resize a form element in a block? I have two blocks, one with a search forum(using drupal finder module) and an email invite module, and for some reason both input forms go outside the blocks borders. 

Both are giving me two different problems.  The finder module's search bar is going beyond the block borders but the entire email invite block is outside the borders.

How do you adjust the size of blocks?
Set the #size and #cols (textarea) attributes of the different form elements as appropriate. You can do that with a hook_form_alter() implementation if they're not your forms.

Additionally, you can also use CSS, using the #attributes property.