First, we expect fiction to be more eventful than real life. Like I read once that in real life, the average policeman fires his gun at an actual person about once every 30 years. (As opposed to firing at a paper target on the shooting range.) That is, the average copy might shoot at a criminal once in his entire career. But on TV, we routinely see policeman getting into at least three or four gun battles every week. It's wildly unrealistic, but we expect it because we expect fiction to be more exciting than real life. Few would watch a cop show in which half the episode is taken up with the policeman cruising around in his police car doing nothing in particular and most of the rest he is sitting at a desk filling out forms.
The question is not, Is the pace realistic? But, Does the reader believe the pace? In some stories, a good part of their appeal is the breathless, non-stop action. When done well, the reader is saying, "Oh, wow! He just escaped from Dr Evil and before he can reload his gun he runs into the Chinese Syndicate!! What will happen next?!" If done poorly, of course, you may find the reader saying, "Oh yeah, right, this is the THIRD TIME this week Sally has been kidnapped. Isn't she just used to it by now?" And that's the point. You want to make the pace of action fast enough that it's exciting, but not so fast that you push the reader's suspension of disbelief past the breaking point.
Second, as Chris Sunami said so I'll just mention this briefly, the amount of time it takes the reader to read the story has little to do with how much time passes within the story. If you think it's pushing believability to say that all ten of these big events happen in one week, you can always just toss in a line like, "And then just a month later ..." This slow does the pace for the reader by just the second or two it takes to read those words, but for the characters it's now a whole month.
Third, the key to keeping the story interesting is, Is it fast enough to be exciting, but slow enough to be interesting?
Suppose you wrote a story that began, "On Monday George got a date with a beauty contest winner. On Tuesday he was attacked by thugs and beaten up. On Wednesday he got a bunch of money. On Thursday he invented a new machine. On Friday ..." Well George must have a pretty eventful and exciting life. But the story as I've written it is boring. There's nowhere near enough detail to get the reader interested in the character, or to care about the character.
If you think your story may be going too fast, ask yourself, when I describe this important event, do I say enough about it to make the reader BELIEVE and FEEL that it's important? It may be important to the character, but is it important to the reader? Do I suck the reader into the characters' lives enough that the reader cares? Or is it more like hearing on the news, "A Brownsville man was found dead yesterday. Police suspect foul play. In other news ..."
The flip side of this is a story that dwells so long on one event that the reader gets bored with it. But that's not the problem you described so, whatever.