None that you're ever likely to reach, no. Current limits are:
20 objects per room
100 messages per room
500 global messages
299 rooms per game
300 inventory items
15000 imported sprites
240 sprites per folder
400 views
16 loops per view
20 frames in each loop
150 characters
40 GUIs
30 controls on each GUI
200 total GUI controls of each type
500 dialog topics
2000 dialog-script messages
30 options per topic
10 screen overlays at a time
500 text script GlobalInts
50 text script GlobalStrings
100 interaction editor global variables
5 background frames per room
20 mouse cursors
Should you ever come close to any limit though, contact Chris Jones (AGS' creator) and he'll most likely increase the limit, it's happened in the past...
Quite what you mean by 'strings' though, I don't know. You mean variables? Of what kind?
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