2 is more severe than 1 1. I don't particularly like my job. - I don't like my job but I can put up with it. 2. I particularly don't like my job. - I don't like my job and it is a major factor of your life.

Yes, in the second sentence the emphasis would be on the word really. I REALLY don't like my job. In the first sentence there is no emphasis on any word so the speaker is showing a lesser degree of dislike for his/her job.

If neither of these options is showing the degree of dislike you are trying describe, the statment below might work better for a stronger meaning. I f@#$ing hate my job!

I thinks it's better to use really instead of particularly. when you use particularly, you mention that in a subject, field or area you don't like something. for example: I don't like my job particularly because of its salary. 1 and 2 have different meanings: in 2 you may have a lot of things that you don't like which one of the important things is your job. native speakers may help us to understand better.

Yes. Switching the two words like in the latter sentence does indicate stronger antipathy. The adverb in the first sentence modifies the verb LIKE; whereas in the second one, the adverb addresses the verb DON'T.