A few back to work tips for you OP
Don't put all your eggs in one basket, irrespective of whether you do get an interview for this job, apply for more than one.
Dont hype up the job in your own mind as being a 'dream job' - it's unlikely to be. You can only hope the role spec they are advertising is reasonably accurate, but some employers do overstate a job to make it sound more interesting. Yes, it may be the hours and the salary you want, but it may not be the role you think. Be cautious.
As previously stated, dates are indicative, they may not stick to them. How will you feel if the actual closing date doesn't end up being until 6th June - ie don't put your whole life on hold, so to speak, waiting for the magic closing date to come around. Another reason for you to have more irons in the fire, and a few more potential interviews.
Don't be surprised if your first interview doesn't bag you the job. You may need a few tries at it. All good practice. It's a numbers game.
I'm not trying to be the Prophet of Doom but just suggesting you build up some resilience so you avoid the thing you fear (ie the rejection) and see it as good experience back into the world of work. Good luck!