Since you've already properly set your editing options units to Quadrant Bearing and DMS, entering the line segments is fairly easy. Click once to start a line, then right-click and choose Direction/Length from the context menu. In the box that pops up, you can enter the calls you have one at a time.
Syntax can vary a bit for the angle, but I use
S00-02-00W as an example of your first call. I tend to specify the seconds, even if the description doesn't have them. To speed things up, you can edit your text file to have the right syntax with find and replace, then just copy and paste the values.
Note there are some other handy options in that context menu, including perpendicular and parallel (so you can right click another line, chose one of those, and the segment you're drawing will be constrained to that option relative to the line you clicked). This can save time in entering the angles, for instance if the opposite side of a lot is the same angle in reverse, you just make your segment parallel to that first side and enter length only. Some options are stackable, so you can right-click more than once for the same segment, but you must do them in the right order (length first just goes at the angle of the cursor).
Without access to the COGO tools, you are limited to inputting individual line segments one at a time. The COGO traverse tool would give you access to inputting the entire description at once, as well as a closure check. With only Basic, there's no way to do the closure check or adjustment automatically, though you could use a third party software.