'96 Taurus Heating Problems

What I know for sure is...
A) There's a leak in the radiator.
B) The a/c is empty...needs a re-charge.
C) On rainy days, running the fan only makes the fogging worse.

Is it safe to say that a repaired/replaced radiator and re-filled a/c will by default make the defogging go back to normal, or is there perhaps a heater core issue at play here as well?
Thanks in advance...

Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file

Motorsforum.com is a website by car enthusiasts for car enthusiasts. It is not affiliated with any of the car or spare part manufacturers or car dealers discussed here. All logos and trade names are the property of their respective owners.