Astrology needs birth times. It's really of limited use without it. Sorry to say this.
Yes and no. For how significant this relationship is--and how much potential it has for being a long term thing, if that's what OP (and her love interest) wants--I'd look first to what transits involving Mars and Jupiter (for interest and beginnings) and Saturn (for long term potential) were going on in her chart. The more of those there are, the more likelihood that any relationship started under them will be highly significant.
So, assuming January 2nd is the first meeting date, we have:
- Transiting Jupiter squaring natal Mars, and having just crossed the DC. (Being at the DC is significant, because that's a major chart point, but other than that, house doesn't matter so much, it's more about the aspects.)
- Transiting Saturn forming an opposition to natal Jupiter.
- Transiting Mars having recently opposed natal Mars and squared the AC/DC.
I'd say there's great potential here. But how it actually plays out depends on what the parties involved decide to do with that potential.