Making reservations - if you change the month of the Departure Date field from the current month (so say from March to June), the month of the Return Date field should automatically change - this didn't work on the old site, still doesn't work on the new site. Similarly, the reservation page automatically displays a 2 month calendar - this display should change if you change the Departure Date month - you have to manually advance the calendar to get it to change.
On the reservations screen, there are 4 tabs (for Round Trip, One-Way, Multi-City and Award). As part of each tab, there's a "?" for help. Clicking this brings up the same general help for all 4 tabs ... which is pointless - either have one icon to display this or - much better - make the help specific to the tab. For exampe, when I clicked on the help icon by "Award", I expected some help etc. on award travel, not just the same long general help stuff about making reservations.
On the plus side, the site doesn't seem to time-out nearly as quickly as the old site (it hasn't actually timed out on me yet) and there's a Logout button. The rapid time-out on the old site was a major, major irritant.