You are restricting the encoder to require insanely high cpu resources and to not produce the optimum output.
Set profile to high. This enables all internal encoding features, so the stream gets compressed best.
Set preset to medium or fast, or even faster if this still result in skipped frames due to encoding lag.
You will still get no really satisfactory stream, because your GPU card (GT 710) is not powerful enough for OBS to render a 720p60 video. This is your main issue.
Proof of this is in this streaming attempt from your log (see the "lagged frames due to rendering lag "):
23:36:08.757: [x264 encoder: 'streaming_h264'] preset: fast
23:36:08.757: [x264 encoder: 'streaming_h264'] profile: high
23:36:08.757: [x264 encoder: 'streaming_h264'] settings:
23:36:08.757: rate_control: CBR
23:36:08.757: bitrate: 3500
23:36:08.757: buffer size: 3500
23:36:08.757: crf: 0
23:36:08.757: fps_num: 60
23:36:08.757: fps_den: 1
23:36:08.757: width: 1280
23:36:08.757: height: 720
23:36:08.757: keyint: 120
23:36:08.757:
23:36:08.757: [x264 encoder: 'streaming_h264'] custom settings: scenecut=0
23:36:08.763: ---------------------------------
23:36:08.764: [FFmpeg aac encoder: 'Track1'] bitrate: 160, channels: 2, channel_layout: 3
23:36:08.764:
23:36:08.765: [rtmp stream: 'adv_stream'] Connecting to RTMP URL rtmp://live-dfw.twitch.tv/app...
23:36:08.797: [rtmp stream: 'adv_stream'] Interface: Realtek PCIe GBE Family Controller (ethernet, 1000 mbps)
23:36:09.605: [rtmp stream: 'adv_stream'] Connection to rtmp://live-dfw.twitch.tv/app successful
23:36:09.610: ==== Streaming Start ===============================================
23:36:39.664: [rtmp stream: 'adv_stream'] User stopped the stream
23:36:39.664: Output 'adv_stream': stopping
23:36:39.664: Output 'adv_stream': Total frames output: 1744
23:36:39.664: Output 'adv_stream': Total drawn frames: 1620 (1853 attempted)
23:36:39.664: Output 'adv_stream': Number of lagged frames due to rendering lag/stalls: 233 (12.6%)
23:36:39.667: ==== Streaming Stop ================================================