I remembered fractions of each.. so i have three 2-second long fragments of dreams from last night.. is this a good start?[/b]
Somewhat, yeah i guess

Will it keep increasing?[/b]
It should after a week or two. The maximum amount of dreams that i remembered in one night was 5-6 and those are pretty rare(ive been lucid dreaming about a year) so dont expect to remember all of them.

How can i increase the clarity of my memories? They're pretty fuzzy.
And Is there anything i could do to help me start remember more faster? [/b]
You could 1. just keep doing MILD and the dream journal or 2. take vitamins B-6(supposed to increase awareness)

let me remind you that some dreams just aren't clear(well for me) and others are really clear. I think it just depends on the dream and the REM sleep cycle. I heard the longer you sleep, the longer you dream and possibly the more vivid it is. I think you have your longest dream around 8-10 hours.