Close the lid of unsealed jar with pop-up lid I bought a cheese spread bottle last night and I opened it today. It said in the bottle to refrigerate after opening, it came with a pop up lid. 

I don't have the facility to use a refrigerator. How long it can be fresh without refrigerating and can I able to seal it back if yes how?
After a couple of hours it will be unsafe if it was below 140 °F/60 °C during that time.

Even if you resealed it, it wouldn't "undo" the bacterial growth that occurred during the time it was unsealed.  So, no, it would not be safe to do this even if you could.