According to this page this is the original light of Eckernförde Hafen, erected in 1907, though moved a short way from its original position. It now belongs to the city of Eckernförde and is painted in their colours.
https://www.unc.edu/~rowlett/lighthouse/deu3.htm

Is that lighthouse a replica one ?

Any ID on the old tug alongside?

LR/IMO No: 7028403
Year: 1970
Name: ANDREAS GAYK
Type: Ferry
Flag: DEU
Date of completion: 6.70
Tons: 411
Country of build: DEU
Builder: Husumer
Location of yard: Husum
1977 STADTRAT STEINGRABER - 81 ANDREAS GAYK - 82 SUNSHINE - 85 RUMM HART I - laid up 12.08

IMO 7028403