now i'm starting to miss the next period after the missed.
I was recommended when I switched the pill that it takes about a month even if you start directly on the first day of your cycle, just as a precaution.
If you do not start taking your pills on the first day of your cycle (as is your case), then it's recommended that you use another contraceptive for 7 days. Also your period can be delayed until you start the placebo pills, so I think it's normal that your period didn't show up when expected.