We present new orbital solutions for 15 binaries, which were astrometrically measured by our team during 2010-2013, using the FastCam “lucky-imaging” camera installed at the 1.5-m Carlos Sánchez Telescope (CST) at the Observatorio del Teide, Tenerife (Spain). We present first orbital solutions for BU 1292, STF 147, HDS 1898 and STT 325 and revise orbital solutions for AG 14, D 5 AB, A 1581, HO 525 AB,WOR 19, A 1999, HU 572, HU 742, COU 227, BU 696 AB, and A 893. We apply two orbital calculation techniques, the “three-dimensional grid search method”, first described by Hartkopf, McAlister, & Franz (1989), and the Docobo’s analytical method (Docobo 1985). We use our tool “Binary Deblending”, based on deblending the entire observed multiband photometry into fundamental and photometric parameters for each stellar component based on PARSEC isochrones. We also obatain the total mass for all systems. Our findings include the identification of a binary system consisting of two M-type dwarfs (WOR 19), a binary of evolved components (twin F6IV-V stars) in BU 1292, accompanied by a newly discovered wide (10.5") and faint companion with G = 17.05 mag. Additionally, we explore the X-ray emission system STF 147 and a very young quadruple system, WDS 04573+5345. This comprehensive analysis significantly contributes to our understanding of the formation and evolution of stellar systems.