Whether the appeal against the interim-measures order was filed within the applicable deadline
No. Because the order was rendered in summary proceedings, the appeal period was 10 days and the appeal filed on 2 July 2014 after notification on 2 June 2014 was late.
Art. 248 let. d CPC makes provisional measures subject to summary proceedings, and Art. 314 al. 1 CPC sets a 10-day appeal period.