Once you've taken the SAT, the results would be available 2 to 4 weeks after your test date. It doesn't matter if your chosen test date was in March or October. If you took the SAT over the summer, it may take a little longer for you to see your scores.
College Board gives you your own account where every SAT details are stored forever. From this account, you can see your SAT score reports right after they become available. You can also send your SAT scores to colleges directly from your CB account. In fact, most colleges do not accept printed or digital copies of your score reports. It must be sent directly from your College Board account.
However, the College Board does not confirm whether scores are sent. Your best bet is to access the apps or online account of all the colleges to receive your SATs. It's likely that if the colleges receive your scores, they will indicate it on your account.
Note that the timeline for score report delivery would depend on how colleges process SATs. Generally, expect 7 business days for your preferred college to receive your score report.