If you want a recording to start at 1 minute 22 seconds on the Timeline above the blue waves, click at 1 minute 22 seconds in the blue waves then record.
If you click at 1 minute 22 seconds then import a file, the cursor will not move from 1 minute 22 seconds so you can still record from that point.
If you want to export only one track out of several tracks but keep the cursor at 1 minute 22 seconds, you could mute all the other tracks, leaving only the track you want to export unmuted. Then use File > Export… , not File > Export Selection… .
Alternatively when you have clicked at 1 minute 22 seconds, choose Edit > Region Save. Then click above Mute / Solo in the track you want to export, then Export Selection… . Finally use Edit > Region Restore to return the cursor to 1 minute 22 seconds then record.
Look at each window in the Audacity installer. When you reach the “Select Additional Tasks” screen, put a check (tick) in the “Reset Preferences” box. Complete the installation. On launching Audacity, a dialogue will appear. In that dialogue, confirm (Yes) that you want to reset preferences.