If you look at the pear_full_log.txt, you should be able to see more extensive info that will look like the below:
Forward reads file.................: raw_data/06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001_R1_001.fastq.gz
Reverse reads file.................: raw_data/06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001_R2_001.fastq.gz
PHRED..............................: 33
Using empirical frequencies........: YES
Statistical method.................: OES
Maximum assembly length............: 999999
Minimum assembly length............: 50
p-value............................: 0.010000
Quality score threshold (trimming).: 0
Minimum read size after trimming...: 1
Maximal ratio of uncalled bases....: 1.000000
Minimum overlap....................: 10
Scoring method.....................: Scaled score
Threads............................: 40
Allocating memory..................: 200,000,000 bytes
Computing empirical frequencies....: DONE
A: 0.236613
C: 0.254660
G: 0.246537
T: 0.262190
112618 uncalled bases
Assemblying reads: 0%
Assemblying reads: 100%
Assembled reads ...................: 276,910 / 296,140 (93.506%)
Discarded reads ...................: 0 / 296,140 (0.000%)
Not assembled reads ...............: 19,230 / 296,140 (6.494%)
Assembled reads file...............: stitched_reads//06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001.assembled.fastq
Discarded reads file...............: stitched_reads//06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001.discarded.fastq
Unassembled forward reads file.....: stitched_reads//06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001.unassembled.forward.fastq
Unassembled reverse reads file.....: stitched_reads//06012020-EXP-MK-NM-1-TM-T0-BT-00_S293_L001.unassembled.reverse.fastq
...so there is a section there that will indicate if you have a lot of Ns in your sequences. However, if you are using the PEAR defaults, the above also highlighted section/option of "max ratio of uncalled bases = 1.0" means you would be allowing any number
of Ns in the reads and they would be accepted. Could you check that yours matches all the default options above? Your one Q-score profile you show looks very good for the one forward read file.
On another note, I'm a bit worried your target fragment is a bit long = difficult to reassemble since your assembled FastQC report shows it approaching ~600 bp - which 16S fragment is this? We usually target PCR products around 450 bp so that the 2x300bp MiSeq
can overlap around 150 bp to correct the lower quality ends, but also allow sufficiently large overlap to make stitching/assembling usually straightforward, even with lower quality runs.