Healthy rate?

What is a healthy rate to lose weight. So far, I've been losing weight in strange ways. I'll lose about 3 or 4lbs in a week and then I won't lose anything for a week or two. I'm not changing my eating habits or workout out differently from week to week. It's weird. The reason why I asked this question in the first place is my boyfriend and I made a pact a few months ago to lose weight by July 30 (when we leave to go on vacation together). He's already lost 10lbs and I've only lost about 7lbs in today. I went from 155lbs to 148lbs. My goal is to get to 145lbs by July 30th. Is that healthy? I really want to lose these three pounds but my body seems to be holding onto them for dear life! Hehe!

3 lbs by July 30 is reasonable.  But you might look at what you're eating.  Is your sodium over 2400mg?  Are you getting more than 25g of Fiber?  Do you drink at least 8 glasses/2 l of water?  All those things play a factor.  And don't look at your boyfriend's progress, your body is not the same as his so you'll lose weight differently from him.  

It's not a good idea to compete with a guy on weight loss, because they lose weight faster than us. It has to do with the fact that muscle burns fat. Since they have more muscle, they lose fat faster. I know it sucks, my boyfriend can literally eat 3000 calories a day and not gain an ounce!! GGGRRR!!!

Alright, thanks guys! So, I want to eat lots of fibre, drink lots of water and avoid lots of sodium?

Sunds spot on to me! aim for two litres a day of water :) or 8 200ml glasses!! and yep... you got it on the nose!! keep it up!!

Three pounds in two weeks is reasonable ONLY if you are eating enough, as in, at least 1200 calories per day. If you are not eating enough, yeah, your body is going to hold onto whatever it can. People have had a lot of success in breaking their plateaus by increasing the number of calories they eat for a few days, from, for example, 1300 to 1500. They do that, their bodies say, "Okay, you ARE feeding me!" and they drop weight.

There are LOTS of posts about this here; I'm sure if you look for them, you will find them.

Here's a summary of what you should be doing

balance your carbs, protein and fat.
keep your calories above 1200
keep your sodium below 2500 mgs
get 35 to 40 grams of fiber a day
eat 3 servings of fruit a day
eat at least 3 servings of green and yellow vegetables a day
eat whole grains
eat small portions of lean protein in the form of meat, poultry, fish or legumes 
eat low fat or non fat dairy or soy products every day
eat six small meals or three meals and three snacks

Put these things on your food log first.  Then, if you have room, add other things such as snack foods, but stay within your allowed calories.