Was Adam and Eve Naked before the fall?

Yes - according to Gen 2:25 they were.

Will believers be naked in the new dispensation?

Believers will be clothed in righteousness in the resurrection. Could it be that Adam and Eve were to be clothed by God in fine linen of righteousness when man began to multiply in a dispensation before sin? They would have lost the clothes the moment they sinned and thefore saw that they were naked. The bottom line is that they did sin and tried to make it right with God by making clothes from leaves. God came - and He slaughtered the first animal to make clothes for Adam and Eve to cover their nakedness and give them dignity. Blood had to flow to cover the sin. And ultimately this points to God sacrificing himself for our sins and covering us with robes of righteousness once more through His grace, faith and obedience to His law and requirements.