Jane,

I don't understand what you mean. You said:
the only Confession available in my church is face to face in front of everyone and I'm far too scared to do it and no private options are available.

• Do you mean in sight of everyone, or do you mean within earshot of everyone?
  
• If the former, what is your objection? (The priest needs to be protected from accusations of abuse and the temptation to abuse, and the penitent needs to the protected from abuse, so today's confessionals are often built with windows.)

Sometimes with penance services, there aren't enough confessionals and priests are placed outside of earshot of other people, and it is expected you can be discreet enough to avoid other people hearing. I suspect, though, there was a miscommunication or misunderstanding.

• Have you talked with your priest about your situation, perhaps you can call him? Perhaps the regular Confession times allow them to use the private confessional, or you can go by appointment, have you explored that?

In any case, Church law requires a sufficient degree of privacy about the content of the Confession and there must be an option that maybe hasn't been explored. Another option is that when you go up for Communion, you can cross your hands across your chest and receive a blessing from the priest instead of receiving Communion; while your parents can force you perhaps to get out of your seat, surely your parents can't force you to receive Communion in that situation.
But what your parents are doing is not right. I'd recommend calling the priest or, if necessary, collaring him at Mass, and putting them on the phone and having him set them straight.

Eric

Jane,

I see. Keep in mind that everyone is a sinner, so everyone should be going to Confession. Devout people confess once a month or even more frequently, so don't feel like being seen is a scarlet letter. To be self-conscious about being seen confessing is actually the sin of pride: you don't want people to know you are a sinner. Well, you are, and so are the rest of us! No surprise there. It's an opportunity to develop humility. Satan is delighted when we are too proud to admit we are sinners.

If you're still committing it, and it is grave matter, it definitely should be confessed. (Even venial sins are worth confessing.) You need not go into all the details.

1. The number of times (how many times you did it) and
2. the kind of sin, and
3. anything that would affect the nature or gravity of the sin,
   
   is what is sufficient.

For example, if the sin was unchastity (which is common among teens), you need to be clear about whether it was a thought, an act by yourself, an act with a man, or an act with another woman, etc. That's about it in terms of specificity (although if a priest has given you other guidance, go with that). A habit can mitigate your culpability and even make it venial, though I'd be cautious about assuming sins are venial, unless you've been told you're scrupulous.

P.S. Don't let what everyone else does influence or govern what you do if you know what is right. It may not be the right thing to do.

• As your mother probably told you, if everyone jumped off a cliff, would you jump off, too?

Jane,

Sure, private Confession is fine; In fact, it's the norm. Relax.

You aren't confessing something the priest hasn't already heard. Think of him as a physician healing the wounds of sin. You wouldn't be embarrassed to show a physical wound to a physician (even if it was in a private place), so that he could heal it.

The same goes for the priest!

Jane,

Your mom is mistaken. You cannot go to Communion in a state of mortal sin without Confession. 

The Catechism says,

Catholic Church, Catechism of the Catholic Church, 2nd Ed. (Vatican City: Libreria Editrice Vaticana, 1997), pp. 365–66

Jane,

It's possible, but not something that can be determined by us over the Internet, that's more of a pastoral question for your priest.

Eric