At the moment everything is going according to plan, until the end of the month there should be a beta version of the product, I think that if everything goes well, then yes, you can expect release according to the road map in summer.
Is there a chance that at the end of the month the price of the token will be more than one dollar?
Not unless there are some well-known and trusted people among the 350 and they spread the news that the product is legit. People are becoming more aware of the dishonesty in crypto and won't trust/believe some unknown testers.