I have 2 problems : a. measurements using the DrawWidget and b. GoogleStreetView.
I think it is to do with Projections and SpatialReference of the tiled layer.When I remove the tiled map service both the widgets seem to work fine.
Earlier I had problems with my Search and LiveLayer Widgets as well. But when I replaced all the "map.spatialReference" with "null" the widgets seemed to workfine.
The SpatialReference for my tiled map service looks like this in Rest: Spatial Reference: PROJCS["NAD83 / Illinois East",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137.0,298.257222101]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["false_easting",984250.0],PARAMETER["false_northing",0.0],PARAMETER["central_meridian",-88.33333333333333],PARAMETER["scale_factor",0.999975],PARAMETER["latitude_of_origin",36.66666666666666],UNIT["Foot_US",0.3048006096012192]]
SpatialReference for my dynamic layer is 3435.
The map services are public, so you can take a look at them.