EVERYBODY SHUT THE WINNIE THE POOH UP
1. No, they are not officially schismatics.
2. Yes, there was an abuse incident involving SSPX.
3. Yes, Archbishop Marcel Lefebvre, the society's founder, illicitly concecrated 4 bishops without the Apostolic Mandate, in defiance of the Code of Canon Law, and against explicit warning by John Paul II, a pope recognized by SSPX.
4.Yes, those Bishops were excommunicated.
5. Yes, those excommunications were removed by Benedict XVI.
6. Yes, Pope Francis stated in 2016 that all future Confessions heard by SSPX priests are BOTH valid and licit.
7.Yes, their cannonical status is still in question.
8. Yes, SSPX has stated that NOT going to Mass on Sunday is okay when only Novus Ordo parishes are within the vicinity, in direct contradiction of Church Teaching and Canon Law.
All this is to say that one should tread lightly when dealing with SSPX. The opinion is split among faithful Catholics (I detest the use of the word "trad" in a tribalist context) as to the nature of the society. Now, I'm not supposed to give my opinion, but I would recommend that one should seek out options that aren't as precarious as SSPX. There are plenty of extraordinary form Roman Rite Masses, whether they be FSSP, ICRSS, or diocesan. Here's just one of the directories available online.
https://www.latinmassdir.org/country/us/