Nanotweeter, if you launch the link in Herman's post above, you will see a 2001 thread that was initiated by Sean and that includes a compensation chart of adjustments that need to be made at each 1/3 octave interval in order to adjust for the inaccuracies of the Shack meter. Those compensation adjustments are summarized below:
10Hz.....+20.5
12.5Hz...+16.5
16Hz.....+11.5
20Hz.....+7.5
25Hz.....+5
31.5Hz...+3
40Hz.....+2.5
50Hz.....+1.5
63Hz.....+1.5
80Hz.....+1.5
100Hz....+2
125Hz....+0.5
160Hz....-0.5
200Hz....-0.5
250Hz....+0.5
315Hz....-0.5
400Hz....0
500Hz....-0.5
630Hz....0
800Hz....0
1kHz.....0
1.25kHz..0
1.6kHz...-0.5
2kHz.....-1.5
2.5kHz...-1.5
3.15kHz..-1.5
4kHz.....-2
5kHz.....-2
6.3kHz...-2
8kHz.....-2
10kHz....-1
12.5kHz..+0.5
16kHz....0
20kHz....+1
Add the above numbers to your SPL meter readings in order to obtain the actual SPL level in your room at each 1/3 octave interval. Given the -2dB compensating adjustments required at your problematic treble frequencies, I think you will find that you still have a reduced but still very sizable 8dB or so frequency response spike throughout those frequency bands.
10Hz.....+20.5
12.5Hz...+16.5
16Hz.....+11.5
20Hz.....+7.5
25Hz.....+5
31.5Hz...+3
40Hz.....+2.5
50Hz.....+1.5
63Hz.....+1.5
80Hz.....+1.5
100Hz....+2
125Hz....+0.5
160Hz....-0.5
200Hz....-0.5
250Hz....+0.5
315Hz....-0.5
400Hz....0
500Hz....-0.5
630Hz....0
800Hz....0
1kHz.....0
1.25kHz..0
1.6kHz...-0.5
2kHz.....-1.5
2.5kHz...-1.5
3.15kHz..-1.5
4kHz.....-2
5kHz.....-2
6.3kHz...-2
8kHz.....-2
10kHz....-1
12.5kHz..+0.5
16kHz....0
20kHz....+1
Add the above numbers to your SPL meter readings in order to obtain the actual SPL level in your room at each 1/3 octave interval. Given the -2dB compensating adjustments required at your problematic treble frequencies, I think you will find that you still have a reduced but still very sizable 8dB or so frequency response spike throughout those frequency bands.