Sri Lanka won 1-0 with one draw.
Overall summary:

We see that Bangladesh is yet to win against Sri Lanka at home, although they have won one Test in Sri Lanka.
Batting:
Most runs (750 and above):

Sangakkara has the most centuries (7) and most 50+ scores (14). Mushfiqur has 10 50+ scores.
Several current players starting with Mushfiqur Rahim are here.
Highest innings (150 and more):

Mathews made the highest score in this series (199). He became the first to score 199 and a duck in the same Test. Several have made 99 and a duck.
Highest batting averages (Minimum 20 innings, all instances):

Sangakkara has by far the highest average, with current player Mushfiqur having the second highest.
Highest batting strike rate (Minimum 1000 balls faced):

Dilshan has by far the highest strike rate, while current player Tamim Iqbal has the highest among Bangladesh players.
To be continued.
See Part 2