Replaced ceiling light with a ceiling fan and light, then added a remote control
Sorry, this site is new to me. I got the ceiling fan and light working correctly with the remote I installed. Turns out that I had it wired correctly and just didn't realize I had to hold down the light button on remote control to increase the light brightness. I also figured out all I had to do to get the fan speeds working was to have the fan on high first,  then the low, medium, and high settings worked on the remote. And this was without having to disconnect the remote. Also,  the universal remote control I purchased did not come with  an installation user's manual 
Thank you all for your kind and patient help and support!