Cid is old. the hunching over whle walking is just a part of him aging. Don't use it. That is the only similarity i have found. Also, as many ppl have have said to you, the machine is only used ot view the past, not to control someone. The only power ellone had was to let ppl view the past. The only reason you are actually controlling Laguna and co. in the past is because if you were to just watch a scene from the past for like more than 10 minutes that would be pretty boring.
And yes, the 'faeries' are squall and co. Laguna refers to them because he feels their presence when they view the past of him. Some of his oddities that he does sometimes(going a different way) he uses them as the reason to why he is doing something different or if some luck happens to him.