Protoplanetary disks contain structures such as gaps, rings, and spirals, which are thought to be produced by the interaction between the disk and embedded protoplanets. However, only a few planet candidates are found orbiting within protoplanetary disks, and most of them are being challenged as having been confused with disk features. We aim to discover more proto-planetary candidates with MUSE, with a secondary aim of improving the high-resolution spectral differential imaging (HRSDI) technique by analyzing the instrumental residuals of MUSE. We analyzed MUSE observations of five young stars and applied the HRSDI technique to perform high-contrast imaging. With a 30 min integration time, MUSE can reach 5$sigma$ detection limits in apparent H$alpha$ line flux down to 10$^{-14}$ and 10$^{-15}$ erg s$^{-1}$ cm$^{-2}$ at 0.075 and 0.25, respectively. In addition to PDS 70 b and c, we did not detect any clear accretion signatures in PDS 70, J1850-3147, and V1094 Sco down to 0.1. MUSE avoids the small sample statistics problem by measuring the noise characteristics in the spatial direction at multiple wavelengths. We detected two asymmetric atomic jets in HD 163296. The HRSDI technique when applied to MUSE data allows us to reach the photon noise limit at small separations (i.e., < 0.5). With a higher spectral resolution, MUSE can achieve fainter detection limits in apparent line flux than SPHERE/ZIMPOL by a factor of $sim$5. MUSE has some instrumental issues that limit the contrast that appear in cases with strong point sources, which can be either a spatial point source due to high Strehl observations or a spectral point source due to a high line-to-continuum ratio. We modified the HRSDI technique to better handle the instrumental artifacts and improve the detection limits.
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