What can cause low flowpeak and feeling of full lungs in morning other than gerd. Only time I need rescue inhaler. Take Flovent 2x day. Suggestions???

Could be your asthma. Asthma can be triggered by allergens, and if you seem to be awakening with those symptoms the triggers could very well be in your home. Pets? Mold in central air/heat ducts? Dust mites? An ionic or HEPA air purifier in the bedroom might help your symptoms.
Get Spirometry. Your asthma may be flared up due to the season and the pollen counts. I would suggest you see your doctor and get a breathing test called a spirometry to see if you are well controlled or not. You may need a higher dose of Flovent. GERD can certainly contribute, but may not be the only issue.